792282240 has 192 divisors, whose sum is σ = 2751503040. Its totient is φ = 210069504.

The previous prime is 792282223. The next prime is 792282259. The reversal of 792282240 is 42282297.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×792282240² = 1255422295638835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 792282195 and 792282204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1514619 + ... + 1515141.

It is an arithmetic number, because the mean of its divisors is an integer number (14330745).

Almost surely, 2^792282240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 792282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375751520).

792282240 is an abundant number, since it is smaller than the sum of its proper divisors (1959220800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

792282240 is a wasteful number, since it uses less digits than its factorization.

792282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 792282240 is about 28147.5085931242. The cubic root of 792282240 is about 925.3228928738.

The spelling of 792282240 in words is "seven hundred ninety-two million, two hundred eighty-two thousand, two hundred forty".